Peer-Reviewed Journal Details
Mandatory Fields
Detinko, AS,Flannery, DL,O'Brien, EA
Journal Of Algebra
Deciding finiteness of matrix groups in positive characteristic
Optional Fields
Matrix group Function field Finiteness problem Order problem Algorithm FUNCTION-FIELDS
We present a new algorithm to decide finiteness of matrix groups defined over a field of positive characteristic. Together with previous work for groups in zero characteristic, this provides the first complete Solution of the finiteness problem for finitely generated matrix groups over a field. We also give an algorithm to compute the order of a finite matrix group over a function field of positive characteristic by constructing an isomorphic copy of the group over a finite field. Our implementations of these algorithms are publicly available in MAGMA. (C) 2009 Elsevier Inc. All rights reserved.
DOI 10.1016/j.jalgebra.2009.08.020
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